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Finding the Fourth Proportional to 3,411.60, 5,114.40 and 2,312.40

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Solution

The fourth proportional to 3,411.60, 5,114.40 and 2,312.40 is: 3,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.60 : 5,114.40 = 2,312.40 : x
  2. Step 2: Convert to fraction form
    3,411.60/5,114.40 = 2,312.40/x
  3. Step 3: Cross multiply
    3,411.60x = 5,114.40 × 2,312.40
  4. Step 4: Simplify right side
    3,411.60x = 11,826,538.56
  5. Step 5: Solve for x
    x = 11,826,538.56/3,411.60
  6. Step 6: Final answer
    x = 3,466.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.